Root 2017
Between which two whole numbers is $\sqrt{2017}$ $?$
Between which two whole numbers is $\sqrt{2017} $ $?$
This problem is taken from the World Mathematics Championships
Answer: 44 and 45
Squaring numbers to get close to $2017$
$40^2=1600$ too small
$50^2=2500$ too big, so $\sqrt{2017}$ is between $40$ and $50$.
$45^2=2025$, very close but a bit too big
$44^2=1936$, too small, so $\sqrt{2017}$ is between $44$ and $45$.